SSC CHSL 2022 PYQ — Question 63

The correct answer is option 4 i.e. 5:6. 

AB = 6PB 

Also , AB = AP + PB 

6 PB = AP + PB 

AP = 5 PB 

Hence , $AP\over AB$ = $5PB \over6PB$ = $5 \over6$

Now using Rule, If a line intersects sides AB and AC of a Δ ABC at P and Q respectively and is parallel to BC, prove that = $AP \over AB$ = $AQ \over AC$

So , $PQ\over BC$ = $5 \over6$